The spectrum \(W\)  has a natural \(\mathit {MSU}\) -module structure. The forgetful morphisms \(\mathit {MSU}\rightarrow W \rightarrow \mathit {MU}\)  are \(\mathit {MSU}\) -module maps. The following description of the \(\mathit {MSU}\) -module \(W\)  is contained implicitly in the works of Conner and Floyd [1]} and Stong [2]} (compare Proposition REF ).
